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1
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Annulus theorem for pseudomanifolds
Lets say I take an arbitrary closed and smooth $d$-manifolds $\mathcal{M}$. Now, it is a well-known fact that whenever I take two (sufficiently nice embedded) closed $d$-balls $B_{1}$ and $B_{2}$ in $ …
9
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Properties a triangulation must have in order to describe a manifold
every dimension admits a combinatorial triangulation and hence a PL-structure" (classical result of Cairns (1935) and Whitehead (1940))
"For $d\geq 4$, there are topological manifolds that do not admit triangulations …